Two handed characters get The Longhammer of course. Some get Wuuthrad for a while, Volendrung, and recently I've been playing that Revenant build, so I'm using the "Duskbreaker" Ancient Nord Greatsword enchanted Absorb Health and Fiery Soul Trap with Azura Black Star.
One handed characters can use anything ranging from Windshear, Dawnbreaker, Gauldur Blackblade, Nord Hero weapons, Skyforge.
Typically I enchant 1 Stamina Absorb so I can continuously Shield Bash and Power Attack, until I get enchanting to 100 if I am using enchanting. I like Absorb Health and Stamina.